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131442202505 = 51761106123893
BaseRepresentation
bin111101001101010010…
…0001101011110001001
3110120021102200201112102
41322122210031132021
54123143200440010
6140214514323145
712332155200245
oct1723244153611
9416242621472
10131442202505
1150820773229
12215838894b5
13c51990b4b3
14650cc45425
153644792ba5
hex1e9a90d789

131442202505 has 32 divisors (see below), whose sum is σ = 169913865888. Its totient is φ = 97249996800.

The previous prime is 131442202481. The next prime is 131442202513. The reversal of 131442202505 is 505202244131.

It can be written as a sum of positive squares in 16 ways, for example, as 10562906176 + 120879296329 = 102776^2 + 347677^2 .

It is not a de Polignac number, because 131442202505 - 218 = 131441940361 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5489339 + ... + 5513231.

It is an arithmetic number, because the mean of its divisors is an integer number (5309808309).

Almost surely, 2131442202505 is an apocalyptic number.

It is an amenable number.

131442202505 is a deficient number, since it is larger than the sum of its proper divisors (38471663383).

131442202505 is a wasteful number, since it uses less digits than its factorization.

131442202505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25037.

The product of its (nonzero) digits is 9600, while the sum is 29.

Adding to 131442202505 its reverse (505202244131), we get a palindrome (636644446636).

The spelling of 131442202505 in words is "one hundred thirty-one billion, four hundred forty-two million, two hundred two thousand, five hundred five".

Divisors: 1 5 17 61 85 305 1037 1061 5185 5305 18037 23893 64721 90185 119465 323605 406181 1100257 1457473 2030905 5501285 7287365 24777041 25350473 123885205 126752365 430958041 1546378853 2154790205 7731894265 26288440501 131442202505